论文标题

伊斯丁关键点附近的主动场理论中的隐形熵产生

Stealth entropy production in active field theories near Ising critical points

论文作者

Caballero, Fernando, Cates, Michael E.

论文摘要

我们解决了有源标量$ ϕ^4 $理论的稳态熵生产率(EPR),该理论缺乏时间反转对称性,接近相位分离的临界点。我们考虑在高斯级别的未保守(A模型)和保守(B)动力学,并且还以$ε= 4-D $为前者解决前者。在每种情况下,活动在RG意义上都是无关的:活动模型在同一(动态的ISING)通用类别中与时间可逆的对应物相同。因此,人们可能会期望活动不会带来新的批判行为。相反,我们在这里表明,每个时空相关量的EPR要么保持有限,要么在临界方法方面存在分歧。因此,熵产生的非平凡临界缩放尺度是通用动力学级属性中的排名。

We address the steady-state entropy production rate (EPR) of active scalar $ϕ^4$ theories, which lack time-reversal symmetry, close to a phase-separation critical point. We consider both nonconserved (Model A) and conserved (Model B) dynamics at Gaussian level, and also address the former at leading order in $ε= 4-d$. In each case, activity is irrelevant in the RG sense: the active model lies in the same (dynamic Ising) universality class as its time-reversible counterpart. Hence one might expect that activity brings no new critical behavior. Here we show instead that the EPR per spacetime correlation volume either remains finite or diverges on approach to criticality. A nontrivial critical scaling for entropy production thus ranks among universal dynamic Ising-class properties.

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